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Aleksandr-060686 [28]

3 years ago

8

Diana ,and Jennifer and Christina are making class for the craft fair Diana has made three tenths of her Jennifer has made Two f

ith, and Christina has made one half of hers. A who had a who had finished the most amount of her class . B .who has finished the least amount

1 answer:

Sladkaya [172]3 years ago

4 0

A- Christina
B-Diana

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A man walks for x hours at a speed of

alexandr1967 [171]

Given:

A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at a speed of (2x + 5) km/h.

Total distance travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

$Speed=\dfrac{Distance}{Time}$

$Speed\times Time=Distance$

A man walks for x hours at a speed of (x + 1) km/h, so walking distance is

$D_1=(x+1)(x)$ km

The man cycles for (x - 1) hours at a speed of (2x + 5) km/h, so the cycling distance is

$D_2=(2x+5)(x-1)$ km

Now,

Total distance = 90 km

$D_1+D_2=90$

$(x+1)x+(2x+5)(x-1)=90$

$x^2+x+2x^2-2x+5x-5-90=0$

$3x^2+4x-95=0$

$3x^2+19x-15x-95=0$

$x(3x+19)-5(3x+19)=0$

$(3x+19)(x-5)=0$

$3x+19=0\text{ and }x-5=0$

$x=\dfrac{-19}{3}\text{ and }x=5$

Time cannot be negative. So, the only possible value of x is 5.

3 0

2 years ago

A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportio

soldi70 [24.7K]

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

$Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}$

Here

$\hat{p}$ is the sample measure which is 8% or 0.08
p is the population measure which is 6% or 0.06
n is the number of samples which is 529

So the Z score is given as

$Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955$

For this the score, the value of probability is calculated from the table as below:

$P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z$

Here value of p(Z<-1.6955) is given as 0.0455

$P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545$

7 0

3 years ago

Please Help Me quick

____ [38]

Answer:

I think it is 4.5/6.5

Step-by-step explanation:

6 0

3 years ago

Help Plzzz!<br> Convert 122lbs to Kilograms and plz show how you got the answer!!!!!!

PolarNik [594]

Answer:

55.83

Step-by-step explanation:

Divide the number of pounds by 2.2046 to use the standard equation.

4 0

2 years ago

Read 2 more answers

Li Ping says a square with 3 inch sides has greater area than a parallelogram that is not a square but has sides that have the s

Kipish [7]

Answer:

Li Ping's statement makes sense.

Step-by-step explanation:

The area of a square with side lengths a inches is given by, $A_1 = a^{2}$ .

Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, $A_2 = ah$ , where, h is the perpendicular distance between the opposite sides.

See the diagram attached.

Since a is the hypotenuse of as right triangle with height h, hence, a > h.

So, $A_1 > A_2$

Therefore, Li Ping's statement makes sense. (Answer)

8 0

3 years ago